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Chapter 9: Q. 9.152 (page 1096)

Solve:10z+1-2=0

Short Answer

Expert verified

The solution is z=310.

Step by step solution

01

Step 1. Given Information 

We are given the quadratic equation 10z+1-2=0and we need to solve it.

02

Step 2. Finding the solution  

Isolating the radical on one side of the equation:

10z+1-2=0⇒10z+1-2+2=2⇒10z+1=2

Squaring both sides of the equation, we get:

10z+12=22⇒10z+1=4⇒10z=4-1⇒10z=3⇒z=310

03

Step 3. Checking the answer 

z=310,10z+1-2=0⇒10310+1-2=0⇒3+1-2=0⇒4-2=0⇒2-2=0⇒0=0

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Most popular questions from this chapter

In the following exercises, simplify and rationalize the denominator.

45

In the following exercises, simplify and rationalize the denominator.

1011

In the following exercises, solve.

4m+2+2=6.

(a) Solve the equation r+4-r+2=0

(b) Explain why one of the “solutions” that was found was not actually a solution to the equation.

Solve:24a+2-16=16.
See all solutions

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